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MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
13/2017

Energy quantization for a nonlinear sigma model with critical gravitinos

Jürgen Jost, Ruijun Wu and Miaomiao Zhu

Abstract

We study some analytical and geometric properties of a two-dimensional nonlinear sigma model with gravitino which comes from supersymmetric string theory. When the action is critical w.r.t. variations of the various fields including the gravitino, there is a symmetric, traceless and divergence-free energy-momentum tensor, which gives rise to a holomorphic quadratic differential. Using it we obtain a Pohozaev type identity and finally we can establish the energy identities along a weakly convergent sequence of fields with uniformly bounded energies.

Received:
12.02.17
Published:
13.02.17
MSC Codes:
35B44, 58J90, 58E20
Keywords:
nonlinear sigma-model, supercurrent, energy identity, Pohozaev identity, gravitino, Dirac-harmonic map

Related publications

inJournal
2019 Journal Open Access
Jürgen Jost, Ruijun Wu and Miaomiao Zhu

Energy quantization for a nonlinear sigma model with critical gravitinos

In: Transactions of the American Mathematical Society / B, 6 (2019) 7, pp. 215-244